Equilibrium: JEE Main 2022 Chemistry question

PCl₅ dissociates as PCl₅(g) $\rightleftharpoons$ PCl₃(g) + Cl₂(g) 5 moles of PCl₅ are placed in a 200 litre vessel which contains 2 moles of N₂ and is maintained at 600 K. The equilibrium pressure is 2.46 atm. The equilibrium constant K_p for the dissociation of PCl₅ is __________ $\times$ 10^$-$3. (nearest integer) (Given : R = 0.082 L atm K^$-$1 mol^$-$1; Assume ideal gas behaviour)